Answer:
Choose some points for x to find its y, the f(x).
To find its inverse, switch the x and y coordinates.
y = 3x + 1
y = 3(-3) + 1
y = -8
f(x) (-3, -8)
f⁻¹(x) (-8, -3)
y = 3x + 1
y = 3(-2) + 1
y = -5
f(x) (-2, -5)
f⁻¹(x) (-5, -2)
y = 3x + 1
y = 3(-1) + 1
y = -2
f(x) (-1, -2)
f⁻¹(x) (-2, -1)
y = 3x + 1
y = 3(0) + 1
y = 1
f(x) (0, 1)
f⁻¹(x) (1, 0)
y = 3x + 1
y = 3(1) + 1
y = 4
f(x) (1, 4)
f⁻¹(x) (4, 1)
y = 3x + 1
y = 3(2) + 1
y = 7
f(x) (2, 7)
f⁻¹(x) (7, 2)
y = 3x + 1
y = 3(3) + 1
y = 10
f(x) (3, 10)
f⁻¹(x) (10, 3)
